What is the Least Common Multiple of 8784 and 8793?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 8784 and 8793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8784 and 8793, than apply into the LCM equation.

GCF(8784,8793) = 9
LCM(8784,8793) = ( 8784 × 8793) / 9
LCM(8784,8793) = 77237712 / 9
LCM(8784,8793) = 8581968

Least Common Multiple (LCM) of 8784 and 8793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8784 and 8793. First we will calculate the prime factors of 8784 and 8793.

Prime Factorization of 8784

Prime Factorization of 8793

Now multiplying the highest exponent prime factors to calculate the LCM of 8784 and 8793.

LCM(8784,8793) = 2⁴ × 3² × 61¹ × 977¹
LCM(8784,8793) = 8581968